I need to access my library folder in a time machine backup that is from a different mac.

How can I do this?

The real problem is that I backed up with time machine, reinstalled the OS and when I tried to put everything back I ran into problems. I tried using migration assistant, and it transferred everything but my user (which is basically just applications). I was able to right click on the time machine icon and browse what is in the backup file - thus manually restoring all of my data, however, without having access to the library folder there are many things I am unable to copy over.